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Finding the Fourth Proportional to 4,705.46, 7,058.54 and 1,585.47

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Solution

The fourth proportional to 4,705.46, 7,058.54 and 1,585.47 is: 2,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.46 : 7,058.54 = 1,585.47 : x
  2. Step 2: Convert to fraction form
    4,705.46/7,058.54 = 1,585.47/x
  3. Step 3: Cross multiply
    4,705.46x = 7,058.54 × 1,585.47
  4. Step 4: Simplify right side
    4,705.46x = 11,191,103.41
  5. Step 5: Solve for x
    x = 11,191,103.41/4,705.46
  6. Step 6: Final answer
    x = 2,378.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.